Self Exercise 8.1 Question 1

A particle moves along a straight line and pasees through a fixed point O. Its displacement, s m, is given by s=2t²-5t-3, where t is the time in seconds after the movement begins. (a) Find the instantaneous displacement, in m, of the particle when (i) t = 0

(ii) t=2.

(b) Find the time when the particle (i) passes through point O,

(ii) is 9m to the right of point O?

(c) Determine the range of time, in seconds, when the particle is to the right of point O.